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Calculus

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Precalc Prerequisites 1

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Untitled.notebook 1 August?12,?2015 Untitled.notebook 2 August?12,?2015 Untitled.notebook 3 August?12,?2015 Untitled.notebook 4 August?12,?2015
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5.1

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Exam Name___________________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the problem. 1) A particle starts at x = 0 and moves along the x-axis with velocity v(t) = 0.2 for time t ? 0. Where is the particle at t = 7? A) x = 0.2 B) x = 1.4 C) x = 0.27 D) x = 7 1) 2) A particle moves with velocity v(t) = 2t + 7 find the distance traveled between t = 1 and t = 5. A) 18 B) 52 C) 26 D) 9 2) 3) A particle moves with velocity v(t) = 2t + 3 find the distance traveled between t = 0 and t = 2. A) 13 B) 15 C) 10 D) 17 3) Use a finite approximation to estimate the area of the region enclosed between the graph of f and the x-axis for a ? x ? b. 4) f(x) = x2, a = 2, b = 6

ap_ab_practice_exam._2012.pdf

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Calculus AB Practice Exam From the 2012 Administration This Practice Exam from the 2012 international administration is provided by the College Board for AP Exam preparation. Teachers are permitted to download the materials and make copies to use with their students in a classroom setting only. To maintain the security of this exam, teachers should collect all materials after their administration and keep them in a secure location. Exams may not be posted on school or personal websites, nor electronically redistributed for any reason. Further distribution of these materials outside of the secure College Board site disadvantages teachers who rely on uncirculated questions for classroom testing. Any

bccalcclassact7bintexpofunc

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Name:________________________ Date:________________________ AP Calculus BC Class Activity 7b: Integration of Exponential Functions Evaluate the following integrals: 6. Find the average value of the function on the interval [0, 4]. 7. Write an expression and find the area of the region bounded by the curve , the x-axis, and the lines x = ln 3 and x = ln 20. 8. Water is leaking from a broken water heater at a rate in gallons per minute of . Find the total amount of water that leaked from the water heater after 6 minutes. Assume the water heater held twenty gallons at the start. After two minutes of leaking the water heater pulled more in water at a rate of . Find the net change in the amount of water in the heater after 8 minutes.

bccalcclassact7aintsubt

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Name:________________________ Date:________________________ AP Calculus BC Class Activity 7a: Integration by Substitution Evaluate the following expressions: 8. Find the area under the curve on the interval . 9. Find the average value of the function on the interval . 10. A particle is moving along the x-axis so that its velocity can be found by the equation Given the starting position (1, 5) find the position of the particle when t = 4 seconds.
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bccalcclassact6bvectors

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Name:________________________ Date:________________________ AP Calculus BC Class Activity 6b: Vectors and Calculus Given the following vector functions for the position of a particle, find the velocity vector: Given the following vector functions for the position of a particle, find the acceleration vector: A particle moves in the plane so that its position at any time is given by Find the velocity and speed of the particle when . Is the particle moving to the left or to the right when . Use a calculator to draw the path of the particle. Draw this curve below. Also, draw in the velocity vector at . A particle moves in the plane so that its position function at any time is given by and . Find the velocity vector. Find

bccalcclassact6avectors

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Name:________________________ Date:________________________ AP Calculus BC Class Activity 6a: Vectors Given the following vectors: and : Find the vector: Find the vector: Find the direction (in radians) and magnitude of the following vectors: Given the following direction and magnitude, find a vector that represents it: , 12 2 rad, 6 Find a unit vector in the direction of . Find the angle between the vectors and . Find the magnitude of the vector between the vectors and .
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